Question

apply the division algorithm to find quotient and remainder on dividing the polynomial . Also verify the division algorithm

Answer 1

Answer:

Step-by-step explanation:

Answer 2

ANSWER:

Given:

p (x) [Dividend] = $3x^3 +4x^2+6x+9$

g (x) [Divisor] = $x^3+2x+3$

To Find:

r (x) [Remainder]

q (x) [Quotient]

Formula used for Verifying the Division Algorithm:

p (x) [Dividend] = g (x) [Divisor] * q (x) [Quotient] + r (x) [Remainder]

SOLUTION:

After Solving the Given using the Long Division Method, we get -

r (x) [Remainder] = $+4x^2$

q (x) [Quotient] = 3

It is also Verified that LHS is Equal to RHS

[Process & Verification - Given with the Attachment]